# Tin-accompanied and true ternary fission of $^{242}$Pu

## TL;DR

This study investigates true and Tin-accompanied ternary fission of $^{242}$Pu using a Three Cluster Model, predicting possible fragmentations, calculating interaction potentials, and identifying the most probable fission channels involving magic nuclei.

## Contribution

The paper introduces a detailed potential-energy analysis of ternary fission of $^{242}$Pu, highlighting the likelihood of forming double magic nuclei like $^{132}Sn$ as the most probable outcome.

## Key findings

- Ternary fission with $^{132}Sn$ is more probable.
- Interaction potentials and Q-values were calculated for various fragmentations.
- Kinetic energies of fragments were estimated in collinear configurations.

## Abstract

True ternary fission and Tin-accompanied ternary fission of $^{242}$Pu are studied by using Three Cluster Model. True ternary fission is considered as formation of heavy fragments in the region $28\leq Z_1,Z_2,Z_3\leq 38$, with comparable masses. The possible fission channels are predicted from potential-energy calculations. Interaction potentials, Q-values and relative yields for all possible fragmentations in equatorial and collinear configurations are calculated and compared to each other. It is found out that ternary fission with formation of a double magic nucleus like $^{132}Sn$ is more probable than the other fragmentations. Also the kinetic energies of the fragments for the group $Z_1=32$, $Z_2=32$ and $Z_3=30$ are calculated for all combinations in the collinear geometry, as a sequential decay.